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Towards a full-bandwidth numerical acoustic model

Hargreaves, JA and Lam, YW 2013, Towards a full-bandwidth numerical acoustic model , in: 21st International Congress on Acoustics, 165th Meeting of the Acoustical Society of America, 2 - 7 June 2013, Montreal.

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Abstract

Prediction models are at the heart of modern acoustic engineering and are used in a diverse range of applications from refining the acoustic design of classrooms and concert halls to predicting how noise exposure varies through an urban environment. They also allow Auralisation to be performed for buildings and spaces before they are built or long after they are lost. Current commercial room acoustic simulation software almost exclusively approximates the propagation of sound geometrically as rays or beams. These assumptions yield efficient algorithms, but the maximum accuracy they can achieve is limited by how well the geometric assumption represents sound propagation in a given space. This comprises their accuracy at low frequencies in particular. Methods that directly model wave effects are more accurate but they have a computational cost that scales with problem size and frequency, effectively limiting them to small or low frequency scenarios. This paper will report the results of initial research into a new full-bandwidth model which aims to be accurate and efficient for all frequencies; the name proposed for this is the “Wave Matching Method”. This builds on the Boundary Element Method with the premise that if an appropriate interpolation scheme is designed then the model will become ‘geometrically dominated’ at high frequencies. Other propagation modes may then be removed without significant error, yielding an algorithm which is accurate and efficient. This paper will present the general concepts of wave matching and the results from some numerical test cases.

Item Type: Conference or Workshop Item (Lecture)
Themes: Built and Human Environment
Schools: Schools > School of Computing, Science and Engineering
Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre (SIRC)
Journal or Publication Title: Proceedings of Meetings on Acoustics, vol. 19
Publisher: Acoustical Society of America
Refereed: No
Related URLs:
Funders: Engineering and Physical Sciences Research Council (EPSRC)
Depositing User: Dr Jonathan Hargreaves
Date Deposited: 28 Jun 2013 15:03
Last Modified: 29 Oct 2015 00:23
References: 1) T. J. Cox and Y. W. Lam, “Prediction and Evaluation of the Scattering from Quadratic Residue Diffusers”, J. Acoust. Soc. Am. 95, 297–305 (1994) 2) T. J. Cox, “Predicting the scattering from reflectors and diffusers using 2D BEM”, J. Acoust. Soc. Am. 96, 874–878 (1994) 3) S. Amini and A. T. J. Profit, “Multi-level fast multipole solution of the scattering problem”, Eng. Anal. Bound. Elem. 27, 547–564 (2003) 4) S. N. Chandler-Wilde, I. G. Graham, S. Langdon and E. A. Spence, “Numerical-asymptotic boundary integral methods in high frequency acoustic scattering”, Acta Numerica 21, 89-305 (2012) 4) Y. W. Lam and J. A. Hargreaves, “Time Domain Modelling of Room Acoustics. Proceedings of Acoustics 2012”, April 2012, Nantes, France 5) E. Perrey-Debain, J. Trevelyan and P. Bettess, “Wave boundary elements: a theoretical overview presenting applications in scattering of short waves”, Eng. Anal. Bound. Elem. 28, 131–141 (2004) 6) H. Beriot, E. Perrey-Debain, M. BenTahar and C. Vayssade, “Plane wave basis in Galerkin BEM for bidimensional wave scattering” Eng. Anal. Bound. Elem. 34, 130–143 (2010) 7) J. A. Hargreaves and T. J. Cox, “A transient boundary element method model of Schroeder diffuser scattering using well mouth impedance”, J. Acoust. Soc. Am. 124, 2942–2951 (2008) 8) H. A. Schenck, “Improved integral formulation for acoustic radiation problems”, J. Acoust. Soc. Am. 44, 41–58 (1968) 9) A. J. Burton and G. F. Miller, “The application of integral equation methods to the numerical solution of some exterior boundary-value problems”, Proc. R. Soc. London, Ser. A 323, 201–210 (1971) 10) A. A. Ergin, B. Shanker, and E. Michielssen, “Analysis of transient wave scattering from rigid bodies using a Burton–Miller approach”, J. Acoust. Soc. Am. 106, 2396–2404 (1999). 11) D. J. Chappell, P. J. Harris, D. Henwood and R. Chakrabarti, “A stable boundary integral equation method for modelling transient acoustic radiation”, J. Acoust.Soc. Am. 120, 74–80 (2006) 12) T. Ha-Duong, B. Ludwig and I. Terrasse, “ A Galerkin BEM for transient acoustic scattering by an absorbing obstacle”, Int. J. Numer. Meth. Engng. 57, 1845–1882 (2003) 13) A. Aimi, M. Diligenti, C. Guardasoni, I. Mazzieri and S. Panizzi, “An energy approach to space–time Galerkin BEM for wave propagation problems”, Int. J. Numer. Meth. Eng. 80, 1196–1240 (2009) 14) J. S. Asvestas, “Line integrals and physical optics. Part II. The conversion of the Kirchhoff surface integral to a line integral”, J. Opt. Soc. Am. A: 2, 896 - 902 (1985)
URI: http://usir.salford.ac.uk/id/eprint/29362

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